Measures of Central Tendency Grouped Data

The score or value that tells us the middle of where all the other values in a distribution tend to cluster.

• Measure of position

• Central Tendency

• Mean

• Median

Which is not a procedure or step in identifying grouped mean?

• Divide the sum of all the product of frequency and class mark by the total frequency.

• Multiply the frequency by the class mark for each class. Place them in another column.

• Compute for the lower class boundary of the class with the highest frequency.

• Find the midpoint (class mark) of each class . Place them in a column.

In the formula,  $mean\ =\ \frac{\sum_{ }^{ }fX_m}{n}$  , What is the meaning of  $X_m$  ?

• frequency

• class boundaries

• tally

• class mark

In the formula,  $mean\ =\ \frac{\sum_{ }^{ }fX_m}{n}$  What is the meaning of  $f$  ?

• frequency 

• tally

• class mark 

• total number of frequency

What is the class mark of the class with the frequency of 25?

• 69

• 80

• 91

• 102

What is the frequency of the class 64-74?

• 6

• 12

• 25

• 14

What is the value of  $fX_m$  if  f = 6 and Xm = 58?

• 9.667

• 64

• -52

• 358

What is the total number of frequency?

• 25

• 80

• 6

• 79

 $What\ is\ the\ value\ of\sum_{ }^{ }fX_m?$  

• 6087

• 8607

• 6607

• 6807

What is the value of grouped mean if  $\sum_{ }^{ }fX_m\ =\ 6807\ and\ n\ =\ 80$  rounded in two decimal places?

• 85.00

• 85.09

• 85.10

• 86